The four men at the center of the appeal were reportedly captured outside Afghan borders.
CNN: Terror suspects in Afghanistan can sue in U.S. courts, judge rules
Det Ch Insp Noel McHugh said the four men were "highly manipulative, evil and dangerous individuals".
Now that the four men have been found guilty, all that awaits is sentencing.
The four men were questioned throughout Tuesday by detectives from Hampshire Police's major investigation team.
The four men, all in their 20s, were arrested near the northern town of Kozani on Friday.
BBC: A mug shot of one of the suspects released by Greek police
The four men have been meeting for weeks to try to bring an end to the in-fighting.
The four men were arrested following a series of raids at their homes in Luton in April 2012.
As the tapes were played in court, the four men had sat smiling and giggling in the dock.
No charges have been filed against any of the four men, who have all been released on bail.
The four men and a woman, aged between 27 and 48, had been held on suspicion of kidnap.
One of the four men accused has now been arrested, but the other three are still at large.
The four men must appear again before Southwark Crown Court on Nov. 18 for a plea and directions hearing.
The four men were jailed in 2009 as a result of a police investigation that began in early 2008.
Prosecutor Joel Dutra said the four men knew of the possible impact of their actions and failed to act.
The four men were found guilty of a 1993 blast blamed on Veerappan's gang that killed more than 20 police.
Dawid Siwak, 30, offered the four men work in the UK, housed them in crowded flats and retained most of their wages.
The four men facing execution were initially given life terms in jail.
BBC: Veerappan gang on death row: India court delays hangings
Two of the four men accused of killing missing financial adviser Lynda Spence have had their pleas of not guilty to murder accepted.
There are still stained glass windows in some chapels across the U.S. that pay tribute to the four men, including at the Pentagon.
The four men were working for the British oil company Emerald Energy, a subsidiary of China's Sinochem, when they were snatched in March 2011.
Sources said one of the four men in question was stopped for a traffic violation Thursday on Interstate 95 in Broward County but was released.
The division's field commander, Abdel Qader Saleh, told The Wall Street Journal that the four men were given a battlefield trial before they were killed.
The four men died after the Gleision drift mine flooded on 15 September 2011 after a retaining wall holding back a body of water failed.
The four men were each jailed for 13-and-a-half years on Wednesday.
Ziad Samir Jarrah, one of the four men who seized the plane that crashed in Pennsylvania, was driving 95 mph in a 60 mph zone.
The solicitor for two of the four men found guilty of murdering Birmingham teenagers Charlene Ellis and Letisha Shakespeare in 2003 has said they will appeal.
Felzenberg said letters sent to the four men indicate the commission would welcome the possibility of their appearing at a public session at a later time.
Portsmouth Crown Court heard that along with his wife, Roza Urbanowicz, Mr Siwak kept the four men in crowded flats and retained most of their wages.
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